### Brain Teasers

# Four Athletes

Alan, Brian, Charlie and Dave took part in a running competition. There were no ties.

Alan said: "I'm second, and Brian is third."

Brian said: "I'm second, and Charlie is last."

Charlie said: "I'm third, and Dave is second."

Dave said: "I'm third, and Alan is first."

However, each person made one true statement true and one false statement. Can you determine which place Charlie ran?

Alan said: "I'm second, and Brian is third."

Brian said: "I'm second, and Charlie is last."

Charlie said: "I'm third, and Dave is second."

Dave said: "I'm third, and Alan is first."

However, each person made one true statement true and one false statement. Can you determine which place Charlie ran?

### Hint

Look carefully.### Answer

Alan, Brain and Charlie each made a statement about who ran second. However, only one person could run second, therefore, at least two of these three statements must be false.Hence, their other three statements must have at least two true ones: "Brian is third", "Charlie is last", and "Charlie is third". Obviously, "Charlie is third" must be false, and Charlie must be last.

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